Metrics for Graphics.Rasterific.Svg.PathConverter:segmentToBezier from rasterific-svg-0.2.3.1, A

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze333.0ms (4%)

Memory

-13.8MiB live, 267.2MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
25%	25%	75%	0%	0%	0%	0%	3
37.5%	37.5%	62.5%	0%	0%	0%	0%	4
43.8%	43.7%	56.2%	0%	0%	0%	0%	5
46.9%	46.9%	53.1%	0%	0%	0%	0%	6
48.4%	48.4%	51.5%	0%	0%	0%	0%	7
49.2%	49.2%	50.8%	0%	0%	0%	0%	8
49.6%	49.6%	50.4%	0%	0%	0%	0%	9
49.8%	49.8%	50.2%	0%	0%	0%	0%	10
49.9%	49.9%	50.1%	0%	0%	0%	0%	11
50%	49.9%	50%	0%	0%	0%	0%	12

Compiler

Compiled 18 to 13 computations (27.8% saved)

sample1.8s (21.1%)

Memory

34.2MiB live, 2 580.1MiB allocated

Samples

1.4s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

ival-sin: 606.0ms (50.4% of total)

ival-mult: 405.0ms (33.7% of total)

ival-div: 171.0ms (14.2% of total)

exact: 11.0ms (0.9% of total)

ival-true: 6.0ms (0.5% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

explain137.0ms (1.6%)

Memory

-6.7MiB live, 350.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
72	0	-	-	`(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))`
0	0	-	-	`(.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64))))`
0	122	(-1.0948402402852244e+145)	-	`(sin.f64 (*.f64 x #s(literal 1/2 binary64)))`
0	0	-	-	`#s(literal 8 binary64)`
0	0	-	-	`#s(literal 3 binary64)`
0	0	-	-	`(*.f64 x #s(literal 1/2 binary64))`
0	0	-	-	`(.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64))))`
0	0	-	-	`(/.f64 #s(literal 8 binary64) #s(literal 3 binary64))`
0	0	-	-	`(sin.f64 x)`
0	0	-	-	`#s(literal 1/2 binary64)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sin.f64`	`(sin.f64 (*.f64 x #s(literal 1/2 binary64)))`	sensitivity	122	0
`/.f64`	`(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))`	u/n	72	0
↳	`(.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64))))`	underflow	72

Confusion

	Predicted +	Predicted -
+	72	0
-	122	62

Precision

0.3711340206185567

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	72	0	0
-	122	0	62

Precision?

0.3711340206185567

Recall?

1.0

Freqs

test

number	freq
0	62
1	194

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

57.0ms

512×

valid

Compiler

Compiled 179 to 48 computations (73.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-sin: 21.0ms (53.3% of total)

ival-mult: 10.0ms (25.4% of total)

ival-div: 7.0ms (17.8% of total)

exact: 1.0ms (2.5% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

preprocess51.0ms (0.6%)

Memory

3.8MiB live, 42.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	35
1	35	29
2	95	28
3	296	28
4	900	28
5	1747	28
6	1848	28
7	1878	28
8	1906	28
9	1918	28
10	1990	28
11	2425	28
0	11	14
0	19	14
1	26	14
2	36	14
3	45	14
4	48	14
0	48	14

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))

Outputs
(.f64 (.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))

Symmetry

(negabs x)

Compiler

Compiled 16 to 11 computations (31.3% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.3%	(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))

Compiler

Compiled 16 to 11 computations (31.3% saved)

simplify4.0ms (0%)

Memory

6.7MiB live, 6.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
cost-diff	0	(.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
cost-diff	0	(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
cost-diff	704	(/.f64 #s(literal 8 binary64) #s(literal 3 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	45
0	19	45
1	26	45
2	36	45
3	45	45
4	48	45
0	48	45

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal 8 binary64) #s(literal 3 binary64))
#s(literal 8 binary64)
#s(literal 3 binary64)
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(sin.f64 x)

Outputs
(.f64 (.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
#s(literal 8/3 binary64)
#s(literal 8 binary64)
#s(literal 3 binary64)
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
x
#s(literal 1/2 binary64)
(sin.f64 x)

localize44.0ms (0.5%)

Memory

-2.3MiB live, 77.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(sin.f64 x)
accuracy	0.21875	(.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
accuracy	0.328125	(.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
accuracy	16.901872607583307	(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))

Samples

36.0ms

256×

valid

Compiler

Compiled 108 to 24 computations (77.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-sin: 10.0ms (39.4% of total)

ival-mult: 8.0ms (31.6% of total)

ival-div: 6.0ms (23.7% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory

9.3MiB live, 9.3MiB allocated

Counts

5 → 48

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sin.f64 x) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (sin.f64 x) #<representation binary64>) () ())) ())

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((/ 8 3) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (/ 8 3) (sin (* x 1/2))) (sin x))
2.0ms	x	@	inf	((/ 8 3) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (/ 8 3) (sin (* x 1/2))) (sin x))
1.0ms	x	@	0	((/ 8 3) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (/ 8 3) (sin (* x 1/2))) (sin x))

Time

Variable

Point

Expression

2.0ms

-inf

((/ 8 3) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (/ 8 3) (sin (* x 1/2))) (sin x))

2.0ms

inf

((/ 8 3) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (/ 8 3) (sin (* x 1/2))) (sin x))

1.0ms

((/ 8 3) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (/ 8 3) (sin (* x 1/2))) (sin x))

simplify216.0ms (2.6%)

Memory

-6.5MiB live, 159.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	414
1	252	414
2	600	408
3	1793	408
4	3346	408
5	4709	408
6	5022	408
7	5317	408
8	5939	408
9	7805	408
0	8072	384

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 47

Calls

Call 1

Inputs
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 2/3 (pow x 2))
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))
(* 4/3 x)
(* x (+ 4/3 (* -1/18 (pow x 2))))
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(sin x)
(sin x)
(sin x)
(sin x)
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(sin x)
(sin x)
(sin x)
(sin x)

Outputs
(*.f64 #s(literal 2/3 binary64) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (.f64 x x) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x)
(.f64 (.f64 x x) #s(literal 2/3 binary64))
(.f64 (.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/540 binary64) (.f64 x x) #s(literal -1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x)
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/30240 binary64) (.f64 x x) #s(literal 1/540 binary64)) (.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)
(*.f64 #s(literal 4/3 binary64) x)
(.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 x x) #s(literal 4/3 binary64)) x)
(.f64 (fma.f64 (fma.f64 #s(literal 1/1440 binary64) (.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x)
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/241920 binary64) (.f64 x x) #s(literal 1/1440 binary64)) (.f64 x x) #s(literal -1/18 binary64)) (.f64 x x) #s(literal 4/3 binary64)) x)
x
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x)
(.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)

rewrite134.0ms (1.6%)

Memory

1.7MiB live, 160.7MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	34
0	19	34
1	34	28
2	115	28
3	628	24
0	4915	24

Stop Event

1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Counts

5 → 286

Calls

Call 1

Inputs
(/.f64 #s(literal 8 binary64) #s(literal 3 binary64))
(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(sin.f64 x)

Outputs
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eval42.0ms (0.5%)

Memory: -14.6MiB live, 60.2MiB allocated
Compiler: Compiled 5 672 to 763 computations (86.5% saved)

prune37.0ms (0.4%)

Memory

16.1MiB live, 62.5MiB allocated

Pruning

26 alts after pruning (26 fresh and 0 done)

	Pruned	Kept	Total
New	307	26	333
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	308	26	334

Accuracy

100.0%

Counts

334 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.4%	(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal 3/8 binary64) (sin.f64 x)))
	50.5%	(/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64))
	50.4%	(/.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
	50.4%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 8/3 binary64)))) (sin.f64 x))
	50.4%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)))) (sin.f64 x))
	50.4%	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 #s(literal 3/8 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) #s(literal 2 binary64))
	50.4%	(/.f64 (+.f64 #s(literal 4/3 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 8/3 binary64))) (sin.f64 x))
	73.4%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64))))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
	50.4%	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
	73.3%	(/.f64 (.f64 (.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
	73.4%	(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))) (sin.f64 x))
	27.6%	(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x))
	50.4%	(/.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))))
	50.4%	(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))))
	50.4%	(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
	50.4%	(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
	99.1%	(.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 3/8 binary64) (sin.f64 x))) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
▶	99.5%	(.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)))
	99.2%	(.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (sin.f64 (.f64 x #s(literal 1/2 binary64))))) (.f64 #s(literal -8/3 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64)))))
	50.4%	(.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)))
	50.4%	(.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3/8 binary64) (sin.f64 x))))
	99.2%	(.f64 (.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
▶	50.3%	(.f64 (.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal 8/3 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1/2 binary64)))
	52.7%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
▶	73.2%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))
▶	52.9%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))

Compiler

Compiled 744 to 580 computations (22% saved)

simplify186.0ms (2.2%)

Memory

-3.8MiB live, 33.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(sin.f64 x)
cost-diff	0	(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
cost-diff	0	(.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
cost-diff	0	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))
cost-diff	0	(/.f64 #s(literal -1 binary64) (sin.f64 x))
cost-diff	128	(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1/2 binary64))
cost-diff	320	(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal 8/3 binary64))
cost-diff	6784	(.f64 (.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal 8/3 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1/2 binary64)))
cost-diff	0	(*.f64 #s(literal 3/8 binary64) (sin.f64 x))
cost-diff	0	(cos.f64 x)
cost-diff	0	(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))
cost-diff	6784	(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal 3/8 binary64) (sin.f64 x)))
cost-diff	0	(*.f64 #s(literal 2/3 binary64) x)
cost-diff	0	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
cost-diff	0	(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
cost-diff	0	(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
cost-diff	384	(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))
cost-diff	576	(.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	191
0	64	183
1	101	177
2	169	177
3	337	177
4	832	173
5	1509	169
6	2188	169
7	2962	169
8	4477	169
9	4747	169
10	4829	169
11	4880	169
12	5477	169
13	5746	169
14	5747	169
15	5747	169
16	5747	169
17	5747	169
18	5755	169
19	5756	169
0	5756	168

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(sin.f64 x)
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))
#s(literal 3/8 binary64)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
(*.f64 #s(literal 2/3 binary64) x)
#s(literal 2/3 binary64)
x
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal 3/8 binary64) (sin.f64 x)))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
(cos.f64 x)
x
#s(literal 1/2 binary64)
(*.f64 #s(literal 3/8 binary64) (sin.f64 x))
#s(literal 3/8 binary64)
(sin.f64 x)
(.f64 (.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal 8/3 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal 8/3 binary64))
(/.f64 #s(literal -1 binary64) (sin.f64 x))
#s(literal -1 binary64)
(sin.f64 x)
x
#s(literal 8/3 binary64)
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1/2 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
#s(literal -1/2 binary64)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))
(.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
#s(literal 8/3 binary64)
(sin.f64 x)
x
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
#s(literal 2 binary64)

Outputs
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
x
#s(literal 1/2 binary64)
(sin.f64 x)
(.f64 #s(literal 8/3 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
#s(literal 3/8 binary64)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
(*.f64 #s(literal 2/3 binary64) x)
#s(literal 2/3 binary64)
x
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
(cos.f64 x)
x
#s(literal 1/2 binary64)
(*.f64 #s(literal 3/8 binary64) (sin.f64 x))
#s(literal 3/8 binary64)
(sin.f64 x)
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
(/.f64 #s(literal -8/3 binary64) (sin.f64 x))
(/.f64 #s(literal -1 binary64) (sin.f64 x))
#s(literal -1 binary64)
(sin.f64 x)
x
#s(literal 8/3 binary64)
(fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
#s(literal -1/2 binary64)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
#s(literal 8/3 binary64)
(sin.f64 x)
x
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
#s(literal 2 binary64)

localize222.0ms (2.7%)

Memory

-8.7MiB live, 352.5MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))
accuracy	0.21484375	(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
accuracy	0.375	(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
accuracy	16.937028857583307	(.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
accuracy	0.08984375	(/.f64 #s(literal -1 binary64) (sin.f64 x))
accuracy	0.42578125	(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal 8/3 binary64))
accuracy	14.702661555645198	(-.f64 #s(literal 1 binary64) (cos.f64 x))
accuracy	16.937028857583307	(.f64 (.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal 8/3 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1/2 binary64)))
accuracy	0	(cos.f64 x)
accuracy	0.21484375	(*.f64 #s(literal 3/8 binary64) (sin.f64 x))
accuracy	14.701146343973855	(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))
accuracy	16.972185107583307	(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal 3/8 binary64) (sin.f64 x)))
accuracy	0.359375	(*.f64 #s(literal 2/3 binary64) x)
accuracy	29.941871468897983	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
accuracy	0	(sin.f64 x)
accuracy	0.1171875	(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))
accuracy	0.15625	(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
accuracy	0.1796875	(.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)))

Samples

80.0ms	68×	2	valid
58.0ms	125×	0	valid
40.0ms	32×	3	valid
15.0ms	31×	1	valid

Compiler

Compiled 378 to 81 computations (78.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 153.0ms

adjust: 34.0ms (22.3% of total)

ival-sin: 30.0ms (19.7% of total)

ival-mult: 28.0ms (18.3% of total)

ival-cos: 24.0ms (15.7% of total)

ival-div: 19.0ms (12.4% of total)

const: 7.0ms (4.6% of total)

ival-pow2: 4.0ms (2.6% of total)

ival-add: 3.0ms (2% of total)

ival-sub: 2.0ms (1.3% of total)

exact: 1.0ms (0.7% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series28.0ms (0.3%)

Memory

17.0MiB live, 55.1MiB allocated

Counts

20 → 240

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 #s(literal 2/3 binary64) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal 3/8 binary64) (sin.f64 x))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (cos.f64 x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 #s(literal 3/8 binary64) (sin.f64 x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal 8/3 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal 8/3 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (sin.f64 x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sin.f64 x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 #s(literal 2/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 #s(literal 2/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 #s(literal 2/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 #s(literal 2/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal 3/8 binary64) (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal 3/8 binary64) (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal 3/8 binary64) (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal 3/8 binary64) (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
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Calls

3 calls:

Time	Variable		Point	Expression
10.0ms	x	@	-inf	((* (/ (sin (* x 1/2)) (sin x)) (/ (sin (* x 1/2)) 3/8)) (/ (sin (* x 1/2)) 3/8) (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2)) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* 2/3 x) (/ (+ (* -1/2 (cos x)) 1/2) (* 3/8 (sin x))) (+ (* -1/2 (cos x)) 1/2) (cos x) (* 3/8 (sin x)) (* (* (/ -1 (sin x)) 8/3) (* (- 1 (cos x)) -1/2)) (* (/ -1 (sin x)) 8/3) (* (- 1 (cos x)) -1/2) (/ -1 (sin x)) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (/ 8/3 (sin x)) (pow (sin (* 1/2 x)) 2)) (/ 8/3 (sin x)) (sin x) (- 1 (cos x)) (pow (sin (* 1/2 x)) 2))
5.0ms	x	@	inf	((* (/ (sin (* x 1/2)) (sin x)) (/ (sin (* x 1/2)) 3/8)) (/ (sin (* x 1/2)) 3/8) (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2)) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* 2/3 x) (/ (+ (* -1/2 (cos x)) 1/2) (* 3/8 (sin x))) (+ (* -1/2 (cos x)) 1/2) (cos x) (* 3/8 (sin x)) (* (* (/ -1 (sin x)) 8/3) (* (- 1 (cos x)) -1/2)) (* (/ -1 (sin x)) 8/3) (* (- 1 (cos x)) -1/2) (/ -1 (sin x)) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (/ 8/3 (sin x)) (pow (sin (* 1/2 x)) 2)) (/ 8/3 (sin x)) (sin x) (- 1 (cos x)) (pow (sin (* 1/2 x)) 2))
4.0ms	x	@	0	((* (/ (sin (* x 1/2)) (sin x)) (/ (sin (* x 1/2)) 3/8)) (/ (sin (* x 1/2)) 3/8) (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2)) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* 2/3 x) (/ (+ (* -1/2 (cos x)) 1/2) (* 3/8 (sin x))) (+ (* -1/2 (cos x)) 1/2) (cos x) (* 3/8 (sin x)) (* (* (/ -1 (sin x)) 8/3) (* (- 1 (cos x)) -1/2)) (* (/ -1 (sin x)) 8/3) (* (- 1 (cos x)) -1/2) (/ -1 (sin x)) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (/ 8/3 (sin x)) (pow (sin (* 1/2 x)) 2)) (/ 8/3 (sin x)) (sin x) (- 1 (cos x)) (pow (sin (* 1/2 x)) 2))

Time

Variable

Point

Expression

10.0ms

-inf

((* (/ (sin (* x 1/2)) (sin x)) (/ (sin (* x 1/2)) 3/8)) (/ (sin (* x 1/2)) 3/8) (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2)) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* 2/3 x) (/ (+ (* -1/2 (cos x)) 1/2) (* 3/8 (sin x))) (+ (* -1/2 (cos x)) 1/2) (cos x) (* 3/8 (sin x)) (* (* (/ -1 (sin x)) 8/3) (* (- 1 (cos x)) -1/2)) (* (/ -1 (sin x)) 8/3) (* (- 1 (cos x)) -1/2) (/ -1 (sin x)) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (/ 8/3 (sin x)) (pow (sin (* 1/2 x)) 2)) (/ 8/3 (sin x)) (sin x) (- 1 (cos x)) (pow (sin (* 1/2 x)) 2))

5.0ms

inf

((* (/ (sin (* x 1/2)) (sin x)) (/ (sin (* x 1/2)) 3/8)) (/ (sin (* x 1/2)) 3/8) (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2)) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* 2/3 x) (/ (+ (* -1/2 (cos x)) 1/2) (* 3/8 (sin x))) (+ (* -1/2 (cos x)) 1/2) (cos x) (* 3/8 (sin x)) (* (* (/ -1 (sin x)) 8/3) (* (- 1 (cos x)) -1/2)) (* (/ -1 (sin x)) 8/3) (* (- 1 (cos x)) -1/2) (/ -1 (sin x)) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (/ 8/3 (sin x)) (pow (sin (* 1/2 x)) 2)) (/ 8/3 (sin x)) (sin x) (- 1 (cos x)) (pow (sin (* 1/2 x)) 2))

4.0ms

((* (/ (sin (* x 1/2)) (sin x)) (/ (sin (* x 1/2)) 3/8)) (/ (sin (* x 1/2)) 3/8) (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2)) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* 2/3 x) (/ (+ (* -1/2 (cos x)) 1/2) (* 3/8 (sin x))) (+ (* -1/2 (cos x)) 1/2) (cos x) (* 3/8 (sin x)) (* (* (/ -1 (sin x)) 8/3) (* (- 1 (cos x)) -1/2)) (* (/ -1 (sin x)) 8/3) (* (- 1 (cos x)) -1/2) (/ -1 (sin x)) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (/ 8/3 (sin x)) (pow (sin (* 1/2 x)) 2)) (/ 8/3 (sin x)) (sin x) (- 1 (cos x)) (pow (sin (* 1/2 x)) 2))

simplify173.0ms (2.1%)

Memory

6.7MiB live, 198.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	267	1922
1	696	1922
2	1690	1916
3	3320	1904
4	5959	1904
5	7501	1904
0	8027	1766

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 239

Calls

Call 1

Inputs
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 4/3 x)
(* x (+ 4/3 (* -1/18 (pow x 2))))
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))
1/2
(+ 1/2 (* 1/16 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2)))))
(+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2)))))))
(* 1/2 x)
(* x (+ 1/2 (* -1/48 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(* 3/8 x)
(* x (+ 3/8 (* -1/16 (pow x 2))))
(* x (+ 3/8 (* (pow x 2) (- (* 1/320 (pow x 2)) 1/16))))
(* x (+ 3/8 (* (pow x 2) (- (* (pow x 2) (+ 1/320 (* -1/13440 (pow x 2)))) 1/16))))
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(/ -8/3 x)
(/ (- (* -4/9 (pow x 2)) 8/3) x)
(/ (- (* (pow x 2) (- (* -7/135 (pow x 2)) 4/9)) 8/3) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -31/5670 (pow x 2)) 7/135)) 4/9)) 8/3) x)
(* -1/4 (pow x 2))
(* (pow x 2) (- (* 1/48 (pow x 2)) 1/4))
(* (pow x 2) (- (* (pow x 2) (+ 1/48 (* -1/1440 (pow x 2)))) 1/4))
(* (pow x 2) (- (* (pow x 2) (+ 1/48 (* (pow x 2) (- (* 1/80640 (pow x 2)) 1/1440)))) 1/4))
(/ -1 x)
(/ (- (* -1/6 (pow x 2)) 1) x)
(/ (- (* (pow x 2) (- (* -7/360 (pow x 2)) 1/6)) 1) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -31/15120 (pow x 2)) 7/360)) 1/6)) 1) x)
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(/ 8/3 x)
(/ (+ 8/3 (* 4/9 (pow x 2))) x)
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* 7/135 (pow x 2))))) x)
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 7/135 (* 31/5670 (pow x 2))))))) x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
(cos x)
(cos x)
(cos x)
(cos x)
(* 3/8 (sin x))
(* 3/8 (sin x))
(* 3/8 (sin x))
(* 3/8 (sin x))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(/ -8/3 (sin x))
(/ -8/3 (sin x))
(/ -8/3 (sin x))
(/ -8/3 (sin x))
(* -1/2 (- 1 (cos x)))
(* -1/2 (- 1 (cos x)))
(* -1/2 (- 1 (cos x)))
(* -1/2 (- 1 (cos x)))
(/ -1 (sin x))
(/ -1 (sin x))
(/ -1 (sin x))
(/ -1 (sin x))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(/ 8/3 (sin x))
(/ 8/3 (sin x))
(/ 8/3 (sin x))
(/ 8/3 (sin x))
(sin x)
(sin x)
(sin x)
(sin x)
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(pow (sin (* 1/2 x)) 2)
(pow (sin (* 1/2 x)) 2)
(pow (sin (* 1/2 x)) 2)
(pow (sin (* 1/2 x)) 2)
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
(cos x)
(cos x)
(cos x)
(cos x)
(* 3/8 (sin x))
(* 3/8 (sin x))
(* 3/8 (sin x))
(* 3/8 (sin x))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(/ -8/3 (sin x))
(/ -8/3 (sin x))
(/ -8/3 (sin x))
(/ -8/3 (sin x))
(* -1/2 (- 1 (cos x)))
(* -1/2 (- 1 (cos x)))
(* -1/2 (- 1 (cos x)))
(* -1/2 (- 1 (cos x)))
(/ -1 (sin x))
(/ -1 (sin x))
(/ -1 (sin x))
(/ -1 (sin x))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(/ 8/3 (sin x))
(/ 8/3 (sin x))
(/ 8/3 (sin x))
(/ 8/3 (sin x))
(sin x)
(sin x)
(sin x)
(sin x)
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(pow (sin (* 1/2 x)) 2)
(pow (sin (* 1/2 x)) 2)
(pow (sin (* 1/2 x)) 2)
(pow (sin (* 1/2 x)) 2)

Outputs
(*.f64 #s(literal 2/3 binary64) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (.f64 x x) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x)
(*.f64 #s(literal 4/3 binary64) x)
(.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 x x) #s(literal 4/3 binary64)) x)
(.f64 (fma.f64 (fma.f64 #s(literal 1/1440 binary64) (.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x)
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/241920 binary64) (.f64 x x) #s(literal 1/1440 binary64)) (.f64 x x) #s(literal -1/18 binary64)) (.f64 x x) #s(literal 4/3 binary64)) x)
#s(literal 1/2 binary64)
(fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 #s(literal 5/768 binary64) (.f64 x x) #s(literal 1/16 binary64)) (.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal 61/92160 binary64) (.f64 x x) #s(literal 5/768 binary64)) (.f64 x x) #s(literal 1/16 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)
(.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (.f64 x x) #s(literal -1/48 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 x x) #s(literal 1/3840 binary64)) (.f64 x x) #s(literal -1/48 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)
(*.f64 #s(literal 2/3 binary64) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (.f64 x x) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x)
(*.f64 #s(literal 2/3 binary64) x)
(*.f64 #s(literal 2/3 binary64) x)
(*.f64 #s(literal 2/3 binary64) x)
(*.f64 #s(literal 2/3 binary64) x)
(*.f64 #s(literal 2/3 binary64) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (.f64 x x) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x)
(.f64 #s(literal 1/4 binary64) (.f64 x x))
(.f64 (.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/1440 binary64) (.f64 x x) #s(literal -1/48 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x) x)
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/80640 binary64) (.f64 x x) #s(literal 1/1440 binary64)) (.f64 x x) #s(literal -1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
#s(literal 1 binary64)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal 3/8 binary64) x)
(.f64 (fma.f64 #s(literal -1/16 binary64) (.f64 x x) #s(literal 3/8 binary64)) x)
(.f64 (fma.f64 (fma.f64 #s(literal 1/320 binary64) (.f64 x x) #s(literal -1/16 binary64)) (*.f64 x x) #s(literal 3/8 binary64)) x)
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/13440 binary64) (.f64 x x) #s(literal 1/320 binary64)) (.f64 x x) #s(literal -1/16 binary64)) (.f64 x x) #s(literal 3/8 binary64)) x)
(*.f64 #s(literal 2/3 binary64) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (.f64 x x) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x)
(/.f64 #s(literal -8/3 binary64) x)
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(-.f64 #s(literal 1 binary64) (cos.f64 x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
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(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
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(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
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(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
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(-.f64 #s(literal 1 binary64) (cos.f64 x))
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(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
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rewrite150.0ms (1.8%)

Memory

-28.3MiB live, 165.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	155
0	64	141
1	174	141
2	789	139
3	6754	135
0	8315	134

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

20 → 1 303

Calls

Call 1

Inputs
(.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
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(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1/2 binary64))
(/.f64 #s(literal -1 binary64) (sin.f64 x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))
(.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
(sin.f64 x)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))

Outputs
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eval380.0ms (4.5%)

Memory: -127.1MiB live, 377.4MiB allocated
Compiler: Compiled 34 868 to 2 988 computations (91.4% saved)

prune118.0ms (1.4%)

Memory

-18.2MiB live, 107.3MiB allocated

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	1 651	7	1 658
Fresh	18	3	21
Picked	3	2	5
Done	0	0	0
Total	1 672	12	1 684

Accuracy

100.0%

Counts

1 684 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.4%	(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal 3/8 binary64) (sin.f64 x)))
	73.4%	(/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (.f64 #s(literal 3/8 binary64) (sin.f64 x)))
▶	50.4%	(/.f64 (+.f64 #s(literal 4/3 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 8/3 binary64))) (sin.f64 x))
	50.4%	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
▶	99.8%	(/.f64 (*.f64 (tan.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 3/8 binary64))
	99.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (*.f64 (tan.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))))
	73.3%	(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
▶	50.4%	(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
▶	56.8%	(.f64 #s(approx (/ (sin ( x 1/2)) (sin x)) #s(literal 1/2 binary64)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)))
▶	52.7%	#s(approx (/ (+ (* -1/2 (cos x)) 1/2) (* 3/8 (sin x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
✓	52.9%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
	99.4%	#s(approx (* (* (/ -1 (sin x)) 8/3) (* (- 1 (cos x)) -1/2)) (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)))

Compiler

Compiled 284 to 249 computations (12.3% saved)

simplify178.0ms (2.1%)

Memory

13.8MiB live, 85.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
cost-diff	128	(+.f64 #s(literal 4/3 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 8/3 binary64)))
cost-diff	320	(.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 8/3 binary64))
cost-diff	6848	(/.f64 (+.f64 #s(literal 4/3 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 8/3 binary64))) (sin.f64 x))
cost-diff	0	(cos.f64 x)
cost-diff	0	(-.f64 #s(literal 1 binary64) (cos.f64 x))
cost-diff	384	(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
cost-diff	6592	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
cost-diff	0	(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64))
cost-diff	0	(.f64 #s(approx (/ (sin ( x 1/2)) (sin x)) #s(literal 1/2 binary64)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)))
cost-diff	384	(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
cost-diff	0	#s(approx (/ (+ (* -1/2 (cos x)) 1/2) (* 3/8 (sin x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
cost-diff	0	(neg.f64 x)
cost-diff	0	(tan.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64)))
cost-diff	512	(/.f64 (neg.f64 x) #s(literal 2 binary64))
cost-diff	1088	(/.f64 (*.f64 (tan.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 3/8 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	176
0	65	165
1	103	155
2	146	155
3	207	155
4	383	150
5	905	150
6	2162	150
7	3689	150
8	3928	150
9	3979	150
10	4091	150
11	4125	150
12	4172	150
13	4294	150
14	4444	150
15	4522	150
16	4531	150
17	4531	150
18	4531	150
0	4531	149

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (*.f64 (tan.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 3/8 binary64))
(*.f64 (tan.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))
(tan.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 (neg.f64 x) #s(literal 2 binary64))
(neg.f64 x)
x
#s(literal 2 binary64)
#s(literal -1/2 binary64)
#s(literal 3/8 binary64)
#s(approx (/ (+ (* -1/2 (cos x)) 1/2) (* 3/8 (sin x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
(*.f64 x x)
x
#s(literal 1/18 binary64)
#s(literal 2/3 binary64)
(.f64 #s(approx (/ (sin ( x 1/2)) (sin x)) #s(literal 1/2 binary64)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)))
#s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 3/8 binary64)
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(sin.f64 x)
#s(literal 4/3 binary64)
(/.f64 (+.f64 #s(literal 4/3 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 8/3 binary64))) (sin.f64 x))
(+.f64 #s(literal 4/3 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 8/3 binary64)))
#s(literal 4/3 binary64)
(.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 8/3 binary64))
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
#s(literal -1/2 binary64)
(cos.f64 x)
x
#s(literal 8/3 binary64)
(sin.f64 x)

Outputs
(.f64 #s(literal -4/3 binary64) (tan.f64 (.f64 #s(literal -1/2 binary64) x)))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(tan.f64 (*.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) x)
(neg.f64 x)
x
#s(literal 2 binary64)
#s(literal -1/2 binary64)
#s(literal 3/8 binary64)
#s(approx (/ (+ (* -1/2 (cos x)) 1/2) (* 3/8 (sin x))) (.f64 (fma.f64 #s(literal 1/18 binary64) (.f64 x x) #s(literal 2/3 binary64)) x))
(.f64 (fma.f64 #s(literal 1/18 binary64) (.f64 x x) #s(literal 2/3 binary64)) x)
(fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64))
(*.f64 x x)
x
#s(literal 1/18 binary64)
#s(literal 2/3 binary64)
(.f64 (.f64 #s(literal 8/3 binary64) #s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(.f64 #s(literal 8/3 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
x
#s(literal 3/8 binary64)
(.f64 #s(literal -4/3 binary64) (tan.f64 (.f64 #s(literal -1/2 binary64) x)))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(sin.f64 x)
#s(literal 4/3 binary64)
(.f64 #s(literal -4/3 binary64) (tan.f64 (.f64 #s(literal -1/2 binary64) x)))
(fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64))
#s(literal 4/3 binary64)
(*.f64 #s(literal -4/3 binary64) (cos.f64 x))
(*.f64 (cos.f64 x) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(cos.f64 x)
x
#s(literal 8/3 binary64)
(sin.f64 x)

localize386.0ms (4.6%)

Memory

10.0MiB live, 307.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(cos.f64 x)
accuracy	0.1875	(.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 8/3 binary64))
accuracy	14.831564467113875	(+.f64 #s(literal 4/3 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 8/3 binary64)))
accuracy	16.901872607583307	(/.f64 (+.f64 #s(literal 4/3 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 8/3 binary64))) (sin.f64 x))
accuracy	0	(cos.f64 x)
accuracy	0.3671875	(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
accuracy	14.702661555645198	(-.f64 #s(literal 1 binary64) (cos.f64 x))
accuracy	16.867090233349177	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
accuracy	0	(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
accuracy	0.1171875	(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))
accuracy	0.1796875	(.f64 #s(approx (/ (sin ( x 1/2)) (sin x)) #s(literal 1/2 binary64)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)))
accuracy	27.569034750016073	#s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.10546875	(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
accuracy	0.2421875	(.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
accuracy	30.050604218878995	#s(approx (/ (+ (* -1/2 (cos x)) 1/2) (* 3/8 (sin x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
accuracy	0	(*.f64 (tan.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))
accuracy	0	(tan.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64)))
accuracy	0	(neg.f64 x)
accuracy	0.1171875	(/.f64 (*.f64 (tan.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 3/8 binary64))

Samples

191.0ms	125×	0	valid
108.0ms	77×	2	valid
45.0ms	23×	3	valid
15.0ms	31×	1	valid

Compiler

Compiled 343 to 83 computations (75.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 329.0ms

ival-sub: 142.0ms (43.2% of total)

ival-cos: 59.0ms (17.9% of total)

const: 52.0ms (15.8% of total)

ival-mult: 20.0ms (6.1% of total)

adjust: 16.0ms (4.9% of total)

ival-div: 15.0ms (4.6% of total)

ival-sin: 10.0ms (3% of total)

ival-tan: 6.0ms (1.8% of total)

ival-add: 6.0ms (1.8% of total)

exact: 1.0ms (0.3% of total)

ival-neg: 1.0ms (0.3% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series58.0ms (0.7%)

Memory

-40.1MiB live, 43.4MiB allocated

Counts

21 → 252

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (/.f64 (*.f64 (tan.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (neg.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (tan.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (* 3/8 (sin x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 #s(approx (/ (sin ( x 1/2)) (sin x)) #s(literal 1/2 binary64)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (cos.f64 x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (+.f64 #s(literal 4/3 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 8/3 binary64))) (sin.f64 x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 8/3 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 #s(literal 4/3 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 8/3 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (tan.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (*.f64 (tan.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (*.f64 (tan.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (*.f64 (tan.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (*.f64 (tan.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (neg.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (neg.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (+.f64 #s(literal 4/3 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 8/3 binary64))) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (+.f64 #s(literal 4/3 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 8/3 binary64))) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (+.f64 #s(literal 4/3 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 8/3 binary64))) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (+.f64 #s(literal 4/3 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 8/3 binary64))) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 8/3 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 8/3 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 8/3 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 8/3 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 #s(literal 4/3 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 8/3 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 #s(literal 4/3 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 8/3 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 #s(literal 4/3 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 8/3 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 #s(literal 4/3 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 8/3 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (tan.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (tan.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (tan.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (tan.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

37.0ms

((/ (* (tan (/ (neg x) 2)) -1/2) 3/8) (/ (neg x) 2) (tan (/ (neg x) 2)) (neg x) (/ (+ (* -1/2 (cos x)) 1/2) (* 3/8 (sin x))) (* (+ (* (* x x) 1/18) 2/3) x) (+ (* (* x x) 1/18) 2/3) (* x x) (/ (sin (* x 1/2)) 3/8) (* (/ (sin (* x 1/2)) (sin x)) (/ (sin (* x 1/2)) 3/8)) (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2)) (/ (- 1 (cos x)) (sin x)) (* (/ (- 1 (cos x)) (sin x)) 4/3) (- 1 (cos x)) (cos x) (/ (+ 4/3 (* (* -1/2 (cos x)) 8/3)) (sin x)) (* (* -1/2 (cos x)) 8/3) (+ 4/3 (* (* -1/2 (cos x)) 8/3)) (* -1/2 (cos x)) (* (tan (/ (neg x) 2)) -1/2))

5.0ms

-inf

((/ (* (tan (/ (neg x) 2)) -1/2) 3/8) (/ (neg x) 2) (tan (/ (neg x) 2)) (neg x) (/ (+ (* -1/2 (cos x)) 1/2) (* 3/8 (sin x))) (* (+ (* (* x x) 1/18) 2/3) x) (+ (* (* x x) 1/18) 2/3) (* x x) (/ (sin (* x 1/2)) 3/8) (* (/ (sin (* x 1/2)) (sin x)) (/ (sin (* x 1/2)) 3/8)) (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2)) (/ (- 1 (cos x)) (sin x)) (* (/ (- 1 (cos x)) (sin x)) 4/3) (- 1 (cos x)) (cos x) (/ (+ 4/3 (* (* -1/2 (cos x)) 8/3)) (sin x)) (* (* -1/2 (cos x)) 8/3) (+ 4/3 (* (* -1/2 (cos x)) 8/3)) (* -1/2 (cos x)) (* (tan (/ (neg x) 2)) -1/2))

5.0ms

inf

((/ (* (tan (/ (neg x) 2)) -1/2) 3/8) (/ (neg x) 2) (tan (/ (neg x) 2)) (neg x) (/ (+ (* -1/2 (cos x)) 1/2) (* 3/8 (sin x))) (* (+ (* (* x x) 1/18) 2/3) x) (+ (* (* x x) 1/18) 2/3) (* x x) (/ (sin (* x 1/2)) 3/8) (* (/ (sin (* x 1/2)) (sin x)) (/ (sin (* x 1/2)) 3/8)) (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2)) (/ (- 1 (cos x)) (sin x)) (* (/ (- 1 (cos x)) (sin x)) 4/3) (- 1 (cos x)) (cos x) (/ (+ 4/3 (* (* -1/2 (cos x)) 8/3)) (sin x)) (* (* -1/2 (cos x)) 8/3) (+ 4/3 (* (* -1/2 (cos x)) 8/3)) (* -1/2 (cos x)) (* (tan (/ (neg x) 2)) -1/2))

simplify493.0ms (5.9%)

Memory

30.6MiB live, 184.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	231	1944
1	650	1944
2	1615	1824
3	3652	1824
4	6127	1824
5	7752	1824
0	8108	1702

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

Inputs
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* x (- (* -1/24 (pow x 2)) 1/2))
(* x (- (* (pow x 2) (- (* -1/240 (pow x 2)) 1/24)) 1/2))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -17/40320 (pow x 2)) 1/240)) 1/24)) 1/2))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* 1/18 (pow x 2))))
2/3
(+ 2/3 (* 1/18 (pow x 2)))
(+ 2/3 (* 1/18 (pow x 2)))
(+ 2/3 (* 1/18 (pow x 2)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 4/3 x)
(* x (+ 4/3 (* -1/18 (pow x 2))))
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
1/2
(+ 1/2 (* 1/16 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2)))))
(+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2)))))))
(* 1/2 x)
(* x (+ 1/2 (* -1/48 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
-4/3
(- (* 2/3 (pow x 2)) 4/3)
(- (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2)))) 4/3)
(- (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))) 4/3)
(* 2/3 (pow x 2))
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))
-1/2
(- (* 1/4 (pow x 2)) 1/2)
(- (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) 1/2)
(- (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) 1/2)
(* 1/4 x)
(* x (+ 1/4 (* 1/48 (pow x 2))))
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2))))))))
(* -4/3 (/ (sin (* -1/2 x)) (cos (* -1/2 x))))
(* -4/3 (/ (sin (* -1/2 x)) (cos (* -1/2 x))))
(* -4/3 (/ (sin (* -1/2 x)) (cos (* -1/2 x))))
(* -4/3 (/ (sin (* -1/2 x)) (cos (* -1/2 x))))
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(/ (sin (* -1/2 x)) (cos (* -1/2 x)))
(/ (sin (* -1/2 x)) (cos (* -1/2 x)))
(/ (sin (* -1/2 x)) (cos (* -1/2 x)))
(/ (sin (* -1/2 x)) (cos (* -1/2 x)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 1/18 (pow x 3))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* 1/18 (pow x 2))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(/ (- 1 (cos x)) (sin x))
(/ (- 1 (cos x)) (sin x))
(/ (- 1 (cos x)) (sin x))
(/ (- 1 (cos x)) (sin x))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(cos x)
(cos x)
(cos x)
(cos x)
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(* -4/3 (cos x))
(* -4/3 (cos x))
(* -4/3 (cos x))
(* -4/3 (cos x))
(+ 4/3 (* -4/3 (cos x)))
(+ 4/3 (* -4/3 (cos x)))
(+ 4/3 (* -4/3 (cos x)))
(+ 4/3 (* -4/3 (cos x)))
(* -1/2 (cos x))
(* -1/2 (cos x))
(* -1/2 (cos x))
(* -1/2 (cos x))
(* -1/2 (/ (sin (* -1/2 x)) (cos (* -1/2 x))))
(* -1/2 (/ (sin (* -1/2 x)) (cos (* -1/2 x))))
(* -1/2 (/ (sin (* -1/2 x)) (cos (* -1/2 x))))
(* -1/2 (/ (sin (* -1/2 x)) (cos (* -1/2 x))))
(* -4/3 (/ (sin (* -1/2 x)) (cos (* -1/2 x))))
(* -4/3 (/ (sin (* -1/2 x)) (cos (* -1/2 x))))
(* -4/3 (/ (sin (* -1/2 x)) (cos (* -1/2 x))))
(* -4/3 (/ (sin (* -1/2 x)) (cos (* -1/2 x))))
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(/ (sin (* -1/2 x)) (cos (* -1/2 x)))
(/ (sin (* -1/2 x)) (cos (* -1/2 x)))
(/ (sin (* -1/2 x)) (cos (* -1/2 x)))
(/ (sin (* -1/2 x)) (cos (* -1/2 x)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 1/18 (pow x 3))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* 1/18 (pow x 2))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(/ (- 1 (cos x)) (sin x))
(/ (- 1 (cos x)) (sin x))
(/ (- 1 (cos x)) (sin x))
(/ (- 1 (cos x)) (sin x))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(cos x)
(cos x)
(cos x)
(cos x)
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(* -4/3 (cos x))
(* -4/3 (cos x))
(* -4/3 (cos x))
(* -4/3 (cos x))
(+ 4/3 (* -4/3 (cos x)))
(+ 4/3 (* -4/3 (cos x)))
(+ 4/3 (* -4/3 (cos x)))
(+ 4/3 (* -4/3 (cos x)))
(* -1/2 (cos x))
(* -1/2 (cos x))
(* -1/2 (cos x))
(* -1/2 (cos x))
(* -1/2 (/ (sin (* -1/2 x)) (cos (* -1/2 x))))
(* -1/2 (/ (sin (* -1/2 x)) (cos (* -1/2 x))))
(* -1/2 (/ (sin (* -1/2 x)) (cos (* -1/2 x))))
(* -1/2 (/ (sin (* -1/2 x)) (cos (* -1/2 x))))

Outputs
(*.f64 #s(literal 2/3 binary64) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (.f64 x x) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) x)
(.f64 (fma.f64 (fma.f64 #s(literal -1/240 binary64) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x)
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -17/40320 binary64) (.f64 x x) #s(literal -1/240 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) x)
(neg.f64 x)
(neg.f64 x)
(neg.f64 x)
(neg.f64 x)
(*.f64 #s(literal 2/3 binary64) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (.f64 x x) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x)
(*.f64 #s(literal 2/3 binary64) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
#s(literal 2/3 binary64)
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 #s(literal 4/3 binary64) x)
(.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 x x) #s(literal 4/3 binary64)) x)
(.f64 (fma.f64 (fma.f64 #s(literal 1/1440 binary64) (.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x)
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(-.f64 #s(literal 1 binary64) (cos.f64 x))
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(.f64 (/.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))) #s(literal -1/2 binary64))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))) #s(literal -1/2 binary64))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))) #s(literal -1/2 binary64))
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(*.f64 #s(literal -1/2 binary64) x)
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(.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
(.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
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(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
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(*.f64 x x)
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(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
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(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
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(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
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(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
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(cos.f64 x)
(cos.f64 x)
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(*.f64 #s(literal -4/3 binary64) (cos.f64 x))
(*.f64 #s(literal -4/3 binary64) (cos.f64 x))
(*.f64 #s(literal -4/3 binary64) (cos.f64 x))
(fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64))
(fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64))
(fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64))
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(*.f64 (cos.f64 x) #s(literal -1/2 binary64))
(*.f64 (cos.f64 x) #s(literal -1/2 binary64))
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(.f64 (/.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))) #s(literal -1/2 binary64))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))) #s(literal -1/2 binary64))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))) #s(literal -1/2 binary64))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))) #s(literal -1/2 binary64))

rewrite202.0ms (2.4%)

Memory

7.5MiB live, 202.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	150
0	65	139
1	205	129
2	1128	129
0	8601	127

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

21 → 1 097

Calls

Call 1

Inputs
(/.f64 (*.f64 (tan.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 3/8 binary64))
(/.f64 (neg.f64 x) #s(literal 2 binary64))
(tan.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64)))
(neg.f64 x)
#s(approx (/ (+ (* -1/2 (cos x)) 1/2) (* 3/8 (sin x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
(*.f64 x x)
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))
(.f64 #s(approx (/ (sin ( x 1/2)) (sin x)) #s(literal 1/2 binary64)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)))
#s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(/.f64 (+.f64 #s(literal 4/3 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 8/3 binary64))) (sin.f64 x))
(.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 8/3 binary64))
(+.f64 #s(literal 4/3 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 8/3 binary64)))
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
(*.f64 (tan.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))

Outputs
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eval302.0ms (3.6%)

Memory: -2.9MiB live, 484.0MiB allocated
Compiler: Compiled 25 649 to 2 741 computations (89.3% saved)

prune146.0ms (1.7%)

Memory

-32.4MiB live, 92.5MiB allocated

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	1 359	13	1 372
Fresh	5	0	5
Picked	3	2	5
Done	1	1	2
Total	1 368	16	1 384

Accuracy

100.0%

Counts

1 384 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.4%	(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
	50.4%	(/.f64 (+.f64 (*.f64 #s(literal -4/3 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
▶	99.8%	(/.f64 (.f64 (tan.f64 (.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 3/8 binary64))
	99.4%	(/.f64 (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) #s(literal -4/3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
▶	98.9%	(/.f64 (*.f64 #s(literal -4/3 binary64) (neg.f64 (sin.f64 x))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
▶	53.2%	(/.f64 #s(approx (* (tan (/ (neg x) 2)) -1/2) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))
	99.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
✓	50.4%	(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
	98.9%	(*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 4/3 binary64))
	99.4%	(.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x)))) #s(literal 4/3 binary64))
▶	99.4%	(.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
	99.3%	(.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal -4/3 binary64)))
	52.9%	(.f64 #s(approx (/ (sin ( x 1/2)) (sin x)) #s(literal 1/2 binary64)) (/.f64 #s(approx (sin (* x 1/2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)) #s(literal 3/8 binary64)))
	52.6%	(.f64 #s(approx (/ (sin ( x 1/2)) (sin x)) #s(literal 1/2 binary64)) #s(approx (/ (sin (* x 1/2)) 3/8) (.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 x x) #s(literal 4/3 binary64)) x)))
✓	52.7%	#s(approx (/ (+ (* -1/2 (cos x)) 1/2) (* 3/8 (sin x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
✓	52.9%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))

Compiler

Compiled 359 to 296 computations (17.5% saved)

simplify27.0ms (0.3%)

Memory

18.2MiB live, 18.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(sin.f64 x)
cost-diff	0	(neg.f64 (sin.f64 x))
cost-diff	128	(*.f64 #s(literal -4/3 binary64) (neg.f64 (sin.f64 x)))
cost-diff	6592	(/.f64 (*.f64 #s(literal -4/3 binary64) (neg.f64 (sin.f64 x))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
cost-diff	0	(sin.f64 x)
cost-diff	0	(cos.f64 x)
cost-diff	0	(fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64))
cost-diff	0	(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
cost-diff	0	(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
cost-diff	0	(.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
cost-diff	0	(*.f64 #s(literal 1/4 binary64) x)
cost-diff	0	#s(approx (* (tan (/ (neg x) 2)) -1/2) (*.f64 #s(literal 1/4 binary64) x))
cost-diff	0	(/.f64 #s(approx (* (tan (/ (neg x) 2)) -1/2) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))
cost-diff	-384	(.f64 (tan.f64 (.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64))
cost-diff	0	(*.f64 x #s(literal -1/2 binary64))
cost-diff	0	(tan.f64 (*.f64 x #s(literal -1/2 binary64)))
cost-diff	704	(/.f64 (.f64 (tan.f64 (.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 3/8 binary64))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	119
0	49	113
1	74	110
2	108	110
3	160	110
4	250	110
5	402	110
6	605	110
7	703	110
8	730	110
9	756	110
10	781	110
11	788	110
12	794	110
13	794	110
0	794	110

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (.f64 (tan.f64 (.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 3/8 binary64))
(.f64 (tan.f64 (.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64))
(tan.f64 (*.f64 x #s(literal -1/2 binary64)))
(*.f64 x #s(literal -1/2 binary64))
x
#s(literal -1/2 binary64)
#s(literal 3/8 binary64)
(/.f64 #s(approx (* (tan (/ (neg x) 2)) -1/2) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))
#s(approx (* (tan (/ (neg x) 2)) -1/2) (*.f64 #s(literal 1/4 binary64) x))
(*.f64 #s(literal 1/4 binary64) x)
#s(literal 1/4 binary64)
x
#s(literal 3/8 binary64)
(.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(literal 4/3 binary64)
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
(fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64))
(cos.f64 x)
x
#s(literal -4/3 binary64)
#s(literal 4/3 binary64)
(sin.f64 x)
(/.f64 (*.f64 #s(literal -4/3 binary64) (neg.f64 (sin.f64 x))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(*.f64 #s(literal -4/3 binary64) (neg.f64 (sin.f64 x)))
#s(literal -4/3 binary64)
(neg.f64 (sin.f64 x))
(sin.f64 x)
x
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(cos.f64 x)
#s(literal 1 binary64)

Outputs
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(tan.f64 (*.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) x)
x
#s(literal -1/2 binary64)
#s(literal 3/8 binary64)
(/.f64 #s(approx (* (tan (/ (neg x) 2)) -1/2) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))
#s(approx (* (tan (/ (neg x) 2)) -1/2) (*.f64 #s(literal 1/4 binary64) x))
(*.f64 #s(literal 1/4 binary64) x)
#s(literal 1/4 binary64)
x
#s(literal 3/8 binary64)
(.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(literal 4/3 binary64)
(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x))
(fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64))
(cos.f64 x)
x
#s(literal -4/3 binary64)
#s(literal 4/3 binary64)
(sin.f64 x)
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
(*.f64 (sin.f64 x) #s(literal 4/3 binary64))
#s(literal -4/3 binary64)
(neg.f64 (sin.f64 x))
(sin.f64 x)
x
(-.f64 (cos.f64 x) #s(literal -1 binary64))
(cos.f64 x)
#s(literal 1 binary64)

localize551.0ms (6.6%)

Memory

-22.0MiB live, 146.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(cos.f64 x)
accuracy	0.16244125976844204	(/.f64 (*.f64 #s(literal -4/3 binary64) (neg.f64 (sin.f64 x))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
accuracy	0.39453125	(*.f64 #s(literal -4/3 binary64) (neg.f64 (sin.f64 x)))
accuracy	0.3946045353151786	(+.f64 (cos.f64 x) #s(literal 1 binary64))
accuracy	0	(sin.f64 x)
accuracy	0	(cos.f64 x)
accuracy	14.716679482698114	(fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64))
accuracy	16.901872607583307	(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
accuracy	0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	0	(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
accuracy	0.3671875	(.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
accuracy	0	(*.f64 #s(literal 1/4 binary64) x)
accuracy	0.1171875	(/.f64 #s(approx (* (tan (/ (neg x) 2)) -1/2) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))
accuracy	29.940474797205383	#s(approx (* (tan (/ (neg x) 2)) -1/2) (*.f64 #s(literal 1/4 binary64) x))
accuracy	0	(.f64 (tan.f64 (.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64))
accuracy	0	(*.f64 x #s(literal -1/2 binary64))
accuracy	0	(tan.f64 (*.f64 x #s(literal -1/2 binary64)))
accuracy	0.1171875	(/.f64 (.f64 (tan.f64 (.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 3/8 binary64))

Samples

179.0ms	125×	0	valid
178.0ms	77×	2	valid
128.0ms	31×	1	valid
22.0ms	23×	3	valid

Compiler

Compiled 234 to 65 computations (72.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 480.0ms

ival-tan: 147.0ms (30.6% of total)

ival-mult: 142.0ms (29.6% of total)

ival-div: 126.0ms (26.2% of total)

ival-cos: 22.0ms (4.6% of total)

const: 18.0ms (3.7% of total)

adjust: 11.0ms (2.3% of total)

ival-sin: 7.0ms (1.5% of total)

ival-add: 5.0ms (1% of total)

ival-neg: 2.0ms (0.4% of total)

exact: 1.0ms (0.2% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series16.0ms (0.2%)

Memory

11.6MiB live, 11.6MiB allocated

Counts

18 → 216

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (/.f64 (.f64 (tan.f64 (.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (tan.f64 (*.f64 x #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 x #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (tan.f64 (.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(approx (* (tan (/ (neg x) 2)) -1/2) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (* (tan (/ (neg x) 2)) -1/2) (*.f64 #s(literal 1/4 binary64) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 #s(literal 1/4 binary64) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (cos.f64 x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sin.f64 x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (*.f64 #s(literal -4/3 binary64) (neg.f64 (sin.f64 x))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 #s(literal -4/3 binary64) (neg.f64 (sin.f64 x))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (neg.f64 (sin.f64 x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (cos.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (.f64 (tan.f64 (.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (.f64 (tan.f64 (.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (.f64 (tan.f64 (.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (.f64 (tan.f64 (.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (tan.f64 (*.f64 x #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (tan.f64 (*.f64 x #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (tan.f64 (*.f64 x #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (tan.f64 (*.f64 x #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 (tan.f64 (.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 (tan.f64 (.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 (tan.f64 (.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 (tan.f64 (.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 #s(approx (* (tan (/ (neg x) 2)) -1/2) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 #s(approx (* (tan (/ (neg x) 2)) -1/2) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 #s(approx (* (tan (/ (neg x) 2)) -1/2) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 #s(approx (* (tan (/ (neg x) 2)) -1/2) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (* (tan (/ (neg x) 2)) -1/2) (*.f64 #s(literal 1/4 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (* (tan (/ (neg x) 2)) -1/2) (*.f64 #s(literal 1/4 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (* (tan (/ (neg x) 2)) -1/2) (*.f64 #s(literal 1/4 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (* (tan (/ (neg x) 2)) -1/2) (*.f64 #s(literal 1/4 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/4 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/4 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/4 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/4 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/4 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/4 binary64) x) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (*.f64 #s(literal -4/3 binary64) (neg.f64 (sin.f64 x))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (*.f64 #s(literal -4/3 binary64) (neg.f64 (sin.f64 x))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (*.f64 #s(literal -4/3 binary64) (neg.f64 (sin.f64 x))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 #s(literal -4/3 binary64) (neg.f64 (sin.f64 x))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (neg.f64 (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (neg.f64 (sin.f64 x)) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 (cos.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 (cos.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 (cos.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 (cos.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

inf

((/ (* (tan (* x -1/2)) -1/2) 3/8) (tan (* x -1/2)) (* x -1/2) (* (tan (* x -1/2)) -1/2) (/ (* (tan (/ (neg x) 2)) -1/2) 3/8) (* (tan (/ (neg x) 2)) -1/2) (* 1/4 x) (* (tan (* 1/2 x)) 4/3) (tan (* 1/2 x)) (* 1/2 x) (/ (+ (* (cos x) -4/3) 4/3) (sin x)) (+ (* (cos x) -4/3) 4/3) (cos x) (sin x) (/ (* -4/3 (neg (sin x))) (+ (cos x) 1)) (* -4/3 (neg (sin x))) (neg (sin x)) (+ (cos x) 1))

3.0ms

-inf

((/ (* (tan (* x -1/2)) -1/2) 3/8) (tan (* x -1/2)) (* x -1/2) (* (tan (* x -1/2)) -1/2) (/ (* (tan (/ (neg x) 2)) -1/2) 3/8) (* (tan (/ (neg x) 2)) -1/2) (* 1/4 x) (* (tan (* 1/2 x)) 4/3) (tan (* 1/2 x)) (* 1/2 x) (/ (+ (* (cos x) -4/3) 4/3) (sin x)) (+ (* (cos x) -4/3) 4/3) (cos x) (sin x) (/ (* -4/3 (neg (sin x))) (+ (cos x) 1)) (* -4/3 (neg (sin x))) (neg (sin x)) (+ (cos x) 1))

2.0ms

((/ (* (tan (* x -1/2)) -1/2) 3/8) (tan (* x -1/2)) (* x -1/2) (* (tan (* x -1/2)) -1/2) (/ (* (tan (/ (neg x) 2)) -1/2) 3/8) (* (tan (/ (neg x) 2)) -1/2) (* 1/4 x) (* (tan (* 1/2 x)) 4/3) (tan (* 1/2 x)) (* 1/2 x) (/ (+ (* (cos x) -4/3) 4/3) (sin x)) (+ (* (cos x) -4/3) 4/3) (cos x) (sin x) (/ (* -4/3 (neg (sin x))) (+ (cos x) 1)) (* -4/3 (neg (sin x))) (neg (sin x)) (+ (cos x) 1))

simplify224.0ms (2.7%)

Memory

16.7MiB live, 284.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	197	1689
1	533	1689
2	1290	1677
3	3875	1677
4	4893	1677
5	5465	1677
6	6604	1677
0	8236	1574

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 215

Calls

Call 1

Inputs
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* -1/2 x)
(* x (- (* -1/24 (pow x 2)) 1/2))
(* x (- (* (pow x 2) (- (* -1/240 (pow x 2)) 1/24)) 1/2))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -17/40320 (pow x 2)) 1/240)) 1/24)) 1/2))
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* 1/4 x)
(* x (+ 1/4 (* 1/48 (pow x 2))))
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2))))))))
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 1/4 x)
(* x (+ 1/4 (* 1/48 (pow x 2))))
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2))))))))
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 2/3 (pow x 2))
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 4/3 x)
(* x (+ 4/3 (* -2/9 (pow x 2))))
(* x (+ 4/3 (* (pow x 2) (- (* 1/90 (pow x 2)) 2/9))))
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/90 (* -1/3780 (pow x 2)))) 2/9))))
(* -1 x)
(* x (- (* 1/6 (pow x 2)) 1))
(* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1))
(* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 1))
2
(+ 2 (* -1/2 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(* -4/3 (/ (sin (* -1/2 x)) (cos (* -1/2 x))))
(* -4/3 (/ (sin (* -1/2 x)) (cos (* -1/2 x))))
(* -4/3 (/ (sin (* -1/2 x)) (cos (* -1/2 x))))
(* -4/3 (/ (sin (* -1/2 x)) (cos (* -1/2 x))))
(/ (sin (* -1/2 x)) (cos (* -1/2 x)))
(/ (sin (* -1/2 x)) (cos (* -1/2 x)))
(/ (sin (* -1/2 x)) (cos (* -1/2 x)))
(/ (sin (* -1/2 x)) (cos (* -1/2 x)))
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 (/ (sin (* -1/2 x)) (cos (* -1/2 x))))
(* -1/2 (/ (sin (* -1/2 x)) (cos (* -1/2 x))))
(* -1/2 (/ (sin (* -1/2 x)) (cos (* -1/2 x))))
(* -1/2 (/ (sin (* -1/2 x)) (cos (* -1/2 x))))
(* -4/3 (/ (sin (* -1/2 x)) (cos (* -1/2 x))))
(* -4/3 (/ (sin (* -1/2 x)) (cos (* -1/2 x))))
(* -4/3 (/ (sin (* -1/2 x)) (cos (* -1/2 x))))
(* -4/3 (/ (sin (* -1/2 x)) (cos (* -1/2 x))))
(* -1/2 (/ (sin (* -1/2 x)) (cos (* -1/2 x))))
(* -1/2 (/ (sin (* -1/2 x)) (cos (* -1/2 x))))
(* -1/2 (/ (sin (* -1/2 x)) (cos (* -1/2 x))))
(* -1/2 (/ (sin (* -1/2 x)) (cos (* -1/2 x))))
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(+ 4/3 (* -4/3 (cos x)))
(+ 4/3 (* -4/3 (cos x)))
(+ 4/3 (* -4/3 (cos x)))
(+ 4/3 (* -4/3 (cos x)))
(cos x)
(cos x)
(cos x)
(cos x)
(sin x)
(sin x)
(sin x)
(sin x)
(* 4/3 (/ (sin x) (+ 1 (cos x))))
(* 4/3 (/ (sin x) (+ 1 (cos x))))
(* 4/3 (/ (sin x) (+ 1 (cos x))))
(* 4/3 (/ (sin x) (+ 1 (cos x))))
(* 4/3 (sin x))
(* 4/3 (sin x))
(* 4/3 (sin x))
(* 4/3 (sin x))
(* -1 (sin x))
(* -1 (sin x))
(* -1 (sin x))
(* -1 (sin x))
(+ 1 (cos x))
(+ 1 (cos x))
(+ 1 (cos x))
(+ 1 (cos x))
(* -4/3 (/ (sin (* -1/2 x)) (cos (* -1/2 x))))
(* -4/3 (/ (sin (* -1/2 x)) (cos (* -1/2 x))))
(* -4/3 (/ (sin (* -1/2 x)) (cos (* -1/2 x))))
(* -4/3 (/ (sin (* -1/2 x)) (cos (* -1/2 x))))
(/ (sin (* -1/2 x)) (cos (* -1/2 x)))
(/ (sin (* -1/2 x)) (cos (* -1/2 x)))
(/ (sin (* -1/2 x)) (cos (* -1/2 x)))
(/ (sin (* -1/2 x)) (cos (* -1/2 x)))
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 (/ (sin (* -1/2 x)) (cos (* -1/2 x))))
(* -1/2 (/ (sin (* -1/2 x)) (cos (* -1/2 x))))
(* -1/2 (/ (sin (* -1/2 x)) (cos (* -1/2 x))))
(* -1/2 (/ (sin (* -1/2 x)) (cos (* -1/2 x))))
(* -4/3 (/ (sin (* -1/2 x)) (cos (* -1/2 x))))
(* -4/3 (/ (sin (* -1/2 x)) (cos (* -1/2 x))))
(* -4/3 (/ (sin (* -1/2 x)) (cos (* -1/2 x))))
(* -4/3 (/ (sin (* -1/2 x)) (cos (* -1/2 x))))
(* -1/2 (/ (sin (* -1/2 x)) (cos (* -1/2 x))))
(* -1/2 (/ (sin (* -1/2 x)) (cos (* -1/2 x))))
(* -1/2 (/ (sin (* -1/2 x)) (cos (* -1/2 x))))
(* -1/2 (/ (sin (* -1/2 x)) (cos (* -1/2 x))))
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(+ 4/3 (* -4/3 (cos x)))
(+ 4/3 (* -4/3 (cos x)))
(+ 4/3 (* -4/3 (cos x)))
(+ 4/3 (* -4/3 (cos x)))
(cos x)
(cos x)
(cos x)
(cos x)
(sin x)
(sin x)
(sin x)
(sin x)
(* 4/3 (/ (sin x) (+ 1 (cos x))))
(* 4/3 (/ (sin x) (+ 1 (cos x))))
(* 4/3 (/ (sin x) (+ 1 (cos x))))
(* 4/3 (/ (sin x) (+ 1 (cos x))))
(* 4/3 (sin x))
(* 4/3 (sin x))
(* 4/3 (sin x))
(* 4/3 (sin x))
(* -1 (sin x))
(* -1 (sin x))
(* -1 (sin x))
(* -1 (sin x))
(+ 1 (cos x))
(+ 1 (cos x))
(+ 1 (cos x))
(+ 1 (cos x))

Outputs
(*.f64 #s(literal 2/3 binary64) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (.f64 x x) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x)
(*.f64 #s(literal -1/2 binary64) x)
(.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) x)
(.f64 (fma.f64 (fma.f64 #s(literal -1/240 binary64) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x)
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -17/40320 binary64) (.f64 x x) #s(literal -1/240 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal 1/4 binary64) x)
(.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal 1/4 binary64)) x)
(.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/48 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x)
(*.f64 #s(literal 2/3 binary64) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (.f64 x x) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x)
(*.f64 #s(literal 1/4 binary64) x)
(.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal 1/4 binary64)) x)
(.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/48 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x)
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 #s(literal 2/3 binary64) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (.f64 x x) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x)
(*.f64 #s(literal 1/2 binary64) x)
(.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)
(.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 2/3 binary64) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (.f64 x x) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x)
(.f64 (.f64 x x) #s(literal 2/3 binary64))
(.f64 (.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/540 binary64) (.f64 x x) #s(literal -1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x)
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/30240 binary64) (.f64 x x) #s(literal 1/540 binary64)) (.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)
#s(literal 1 binary64)
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
x
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/5040 binary64) x) x #s(literal 1/120 binary64)) x) x #s(literal -1/6 binary64)) x)
(*.f64 #s(literal 2/3 binary64) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (.f64 x x) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x)
(*.f64 #s(literal 4/3 binary64) x)
(.f64 (fma.f64 #s(literal -2/9 binary64) (.f64 x x) #s(literal 4/3 binary64)) x)
(.f64 (fma.f64 (fma.f64 #s(literal 1/90 binary64) (.f64 x x) #s(literal -2/9 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x)
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/3780 binary64) (.f64 x x) #s(literal 1/90 binary64)) (.f64 x x) #s(literal -2/9 binary64)) (.f64 x x) #s(literal 4/3 binary64)) x)
(neg.f64 x)
(neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
(neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (neg.f64 x))
#s(literal 2 binary64)
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 2 binary64))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 2 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))) #s(literal -4/3 binary64))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))) #s(literal -4/3 binary64))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))) #s(literal -4/3 binary64))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))) #s(literal -4/3 binary64))
(/.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) (cos.f64 (.f64 #s(literal -1/2 binary64) x)))
(/.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) (cos.f64 (.f64 #s(literal -1/2 binary64) x)))
(/.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) (cos.f64 (.f64 #s(literal -1/2 binary64) x)))
(/.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) (cos.f64 (.f64 #s(literal -1/2 binary64) x)))
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(.f64 (/.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))) #s(literal -1/2 binary64))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))) #s(literal -1/2 binary64))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))) #s(literal -1/2 binary64))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))) #s(literal -1/2 binary64))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))) #s(literal -4/3 binary64))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))) #s(literal -4/3 binary64))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))) #s(literal -4/3 binary64))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))) #s(literal -4/3 binary64))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))) #s(literal -1/2 binary64))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))) #s(literal -1/2 binary64))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))) #s(literal -1/2 binary64))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 #s(literal 1/4 binary64) x)
(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 4/3 binary64))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 4/3 binary64))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 4/3 binary64))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 4/3 binary64))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
(fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64))
(fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64))
(fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64))
(fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64))
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
(.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
(.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
(.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
(*.f64 (sin.f64 x) #s(literal 4/3 binary64))
(*.f64 (sin.f64 x) #s(literal 4/3 binary64))
(*.f64 (sin.f64 x) #s(literal 4/3 binary64))
(*.f64 (sin.f64 x) #s(literal 4/3 binary64))
(neg.f64 (sin.f64 x))
(neg.f64 (sin.f64 x))
(neg.f64 (sin.f64 x))
(neg.f64 (sin.f64 x))
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))) #s(literal -4/3 binary64))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))) #s(literal -4/3 binary64))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))) #s(literal -4/3 binary64))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))) #s(literal -4/3 binary64))
(/.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) (cos.f64 (.f64 #s(literal -1/2 binary64) x)))
(/.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) (cos.f64 (.f64 #s(literal -1/2 binary64) x)))
(/.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) (cos.f64 (.f64 #s(literal -1/2 binary64) x)))
(/.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) (cos.f64 (.f64 #s(literal -1/2 binary64) x)))
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(.f64 (/.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))) #s(literal -1/2 binary64))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))) #s(literal -1/2 binary64))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))) #s(literal -1/2 binary64))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))) #s(literal -1/2 binary64))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))) #s(literal -4/3 binary64))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))) #s(literal -4/3 binary64))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))) #s(literal -4/3 binary64))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))) #s(literal -4/3 binary64))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))) #s(literal -1/2 binary64))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))) #s(literal -1/2 binary64))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))) #s(literal -1/2 binary64))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 #s(literal 1/4 binary64) x)
(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 4/3 binary64))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 4/3 binary64))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 4/3 binary64))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 4/3 binary64))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
(fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64))
(fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64))
(fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64))
(fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64))
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
(.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
(.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
(.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
(*.f64 (sin.f64 x) #s(literal 4/3 binary64))
(*.f64 (sin.f64 x) #s(literal 4/3 binary64))
(*.f64 (sin.f64 x) #s(literal 4/3 binary64))
(*.f64 (sin.f64 x) #s(literal 4/3 binary64))
(neg.f64 (sin.f64 x))
(neg.f64 (sin.f64 x))
(neg.f64 (sin.f64 x))
(neg.f64 (sin.f64 x))
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(+.f64 (cos.f64 x) #s(literal 1 binary64))

rewrite224.0ms (2.7%)

Memory

-8.4MiB live, 266.9MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	100
0	49	94
1	145	91
2	690	91
3	5654	91
0	8080	91

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

18 → 1 013

Calls

Call 1

Inputs
(/.f64 (.f64 (tan.f64 (.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 3/8 binary64))
(tan.f64 (*.f64 x #s(literal -1/2 binary64)))
(*.f64 x #s(literal -1/2 binary64))
(.f64 (tan.f64 (.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64))
(/.f64 #s(approx (* (tan (/ (neg x) 2)) -1/2) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))
#s(approx (* (tan (/ (neg x) 2)) -1/2) (*.f64 #s(literal 1/4 binary64) x))
(*.f64 #s(literal 1/4 binary64) x)
(.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
(fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64))
(cos.f64 x)
(sin.f64 x)
(/.f64 (*.f64 #s(literal -4/3 binary64) (neg.f64 (sin.f64 x))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(*.f64 #s(literal -4/3 binary64) (neg.f64 (sin.f64 x)))
(neg.f64 (sin.f64 x))
(+.f64 (cos.f64 x) #s(literal 1 binary64))

Outputs
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eval187.0ms (2.2%)

Memory: 31.4MiB live, 348.0MiB allocated
Compiler: Compiled 21 314 to 2 510 computations (88.2% saved)

prune68.0ms (0.8%)

Memory

-7.0MiB live, 110.5MiB allocated

Pruning

15 alts after pruning (8 fresh and 7 done)

	Pruned	Kept	Total
New	1 300	4	1 304
Fresh	4	4	8
Picked	1	4	5
Done	0	3	3
Total	1 305	15	1 320

Accuracy

100.0%

Counts

1 320 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.4%	(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
✓	99.8%	(/.f64 (.f64 (tan.f64 (.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 3/8 binary64))
	99.4%	(/.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
	99.7%	(/.f64 (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64)) (.f64 #s(literal 3/8 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) x))))
	98.9%	(/.f64 (*.f64 (sin.f64 x) #s(literal 4/3 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
✓	53.2%	(/.f64 #s(approx (* (tan (/ (neg x) 2)) -1/2) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))
	99.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
	53.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) #s(approx (* (tan (/ (neg x) 2)) -1/2) (*.f64 #s(literal 1/4 binary64) x))))
✓	50.4%	(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
	99.4%	(.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x)))) #s(literal 4/3 binary64))
✓	99.4%	(.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
	52.9%	(.f64 #s(approx (/ (sin ( x 1/2)) (sin x)) #s(literal 1/2 binary64)) (/.f64 #s(approx (sin (* x 1/2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)) #s(literal 3/8 binary64)))
	52.6%	(.f64 #s(approx (/ (sin ( x 1/2)) (sin x)) #s(literal 1/2 binary64)) #s(approx (/ (sin (* x 1/2)) 3/8) (.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 x x) #s(literal 4/3 binary64)) x)))
✓	52.7%	#s(approx (/ (+ (* -1/2 (cos x)) 1/2) (* 3/8 (sin x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
✓	52.9%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))

Compiler

Compiled 889 to 361 computations (59.4% saved)

regimes56.0ms (0.7%)

Memory

-8.4MiB live, 63.8MiB allocated

Counts

51 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
#s(approx (/ (+ (* -1/2 (cos x)) 1/2) (* 3/8 (sin x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(/.f64 #s(approx (* (tan (/ (neg x) 2)) -1/2) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))
(.f64 #s(approx (/ (sin ( x 1/2)) (sin x)) #s(literal 1/2 binary64)) #s(approx (/ (sin (* x 1/2)) 3/8) (.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 x x) #s(literal 4/3 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) #s(approx (* (tan (/ (neg x) 2)) -1/2) (*.f64 #s(literal 1/4 binary64) x))))
(.f64 #s(approx (/ (sin ( x 1/2)) (sin x)) #s(literal 1/2 binary64)) (/.f64 #s(approx (sin (* x 1/2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)) #s(literal 3/8 binary64)))
#s(approx (* (* (/ -1 (sin x)) 8/3) (* (- 1 (cos x)) -1/2)) (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)))
(.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
(.f64 #s(approx (/ (sin ( x 1/2)) (sin x)) #s(literal 1/2 binary64)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x))
(/.f64 (.f64 (tan.f64 (.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 3/8 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (*.f64 (tan.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 3/8 binary64))
(.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x)))) #s(literal 4/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (*.f64 (tan.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
(*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 4/3 binary64))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
(/.f64 (*.f64 (sin.f64 x) #s(literal 4/3 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
(/.f64 (+.f64 (*.f64 #s(literal -4/3 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
(/.f64 (*.f64 #s(literal -4/3 binary64) (neg.f64 (sin.f64 x))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal 3/8 binary64) (sin.f64 x)))
(.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3/8 binary64) (sin.f64 x))))
(.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)))
(/.f64 (+.f64 #s(literal 4/3 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 8/3 binary64))) (sin.f64 x))
(/.f64 (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) #s(literal -4/3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))))
(/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal 8/3 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))))
(/.f64 (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64)) (.f64 #s(literal 3/8 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) x))))
(/.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)))) (sin.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 #s(literal 3/8 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 8/3 binary64)))) (sin.f64 x))
(.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal -4/3 binary64)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (.f64 #s(literal 3/8 binary64) (sin.f64 x)))
(.f64 (.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 3/8 binary64) (sin.f64 x))) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(/.f64 (.f64 (.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (sin.f64 (.f64 x #s(literal 1/2 binary64))))) (.f64 #s(literal -8/3 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64)))))
(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64))))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))

Outputs
(/.f64 (.f64 (tan.f64 (.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 3/8 binary64))

Calls

2 calls:

36.0ms	(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
17.0ms	x

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes9.0ms (0.1%)

Memory

19.3MiB live, 19.3MiB allocated

Counts

11 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
#s(approx (/ (+ (* -1/2 (cos x)) 1/2) (* 3/8 (sin x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(/.f64 #s(approx (* (tan (/ (neg x) 2)) -1/2) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))
(.f64 #s(approx (/ (sin ( x 1/2)) (sin x)) #s(literal 1/2 binary64)) #s(approx (/ (sin (* x 1/2)) 3/8) (.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 x x) #s(literal 4/3 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) #s(approx (* (tan (/ (neg x) 2)) -1/2) (*.f64 #s(literal 1/4 binary64) x))))
(.f64 #s(approx (/ (sin ( x 1/2)) (sin x)) #s(literal 1/2 binary64)) (/.f64 #s(approx (sin (* x 1/2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)) #s(literal 3/8 binary64)))
#s(approx (* (* (/ -1 (sin x)) 8/3) (* (- 1 (cos x)) -1/2)) (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)))
(.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
(.f64 #s(approx (/ (sin ( x 1/2)) (sin x)) #s(literal 1/2 binary64)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x))

Outputs
#s(approx (* (* (/ -1 (sin x)) 8/3) (* (- 1 (cos x)) -1/2)) (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)))

Calls

2 calls:

4.0ms	(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
4.0ms	x

Results

Accuracy	Segments	Branch
99.4%	1	`x`
99.4%	1	`(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes12.0ms (0.1%)

Memory

-26.6MiB live, 12.7MiB allocated

Counts

7 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
#s(approx (/ (+ (* -1/2 (cos x)) 1/2) (* 3/8 (sin x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(/.f64 #s(approx (* (tan (/ (neg x) 2)) -1/2) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))
(.f64 #s(approx (/ (sin ( x 1/2)) (sin x)) #s(literal 1/2 binary64)) #s(approx (/ (sin (* x 1/2)) 3/8) (.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 x x) #s(literal 4/3 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) #s(approx (* (tan (/ (neg x) 2)) -1/2) (*.f64 #s(literal 1/4 binary64) x))))
(.f64 #s(approx (/ (sin ( x 1/2)) (sin x)) #s(literal 1/2 binary64)) (/.f64 #s(approx (sin (* x 1/2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)) #s(literal 3/8 binary64)))

Outputs
(/.f64 #s(approx (* (tan (/ (neg x) 2)) -1/2) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))

Calls

2 calls:

9.0ms	x
3.0ms	(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))

Results

Accuracy	Segments	Branch
53.2%	1	`x`
53.2%	1	`(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes4.0ms (0.1%)

Memory

10.4MiB live, 10.4MiB allocated

Accuracy

Total -0.3b remaining (-0.9%)

Threshold costs -0.3b (-0.9%)

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))

#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))

#s(approx (/ (+ (* -1/2 (cos x)) 1/2) (* 3/8 (sin x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))

Outputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))

Calls

2 calls:

2.0ms	(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
2.0ms	x

Results

Accuracy	Segments	Branch
52.9%	1	`x`
52.9%	1	`(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))`

Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify30.0ms (0.4%)

Memory

9.3MiB live, 79.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	59
1	52	59

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (.f64 (tan.f64 (.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 3/8 binary64))
#s(approx (* (* (/ -1 (sin x)) 8/3) (* (- 1 (cos x)) -1/2)) (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)))
(/.f64 #s(approx (* (tan (/ (neg x) 2)) -1/2) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))

Outputs
(/.f64 (.f64 (tan.f64 (.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64)) #s(literal 3/8 binary64))
#s(approx (* (* (/ -1 (sin x)) 8/3) (* (- 1 (cos x)) -1/2)) (.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(approx (* (tan (/ (neg x) 2)) -1/2) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))

soundness1.1s (13.2%)

Memory

-29.9MiB live, 758.4MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	155
0	64	141
1	174	141
2	789	139
3	6754	135
0	8315	134
0	42	150
0	65	139
1	205	129
2	1128	129
0	8601	127
0	267	1922
1	696	1922
2	1690	1916
3	3320	1904
4	5959	1904
5	7501	1904
0	8027	1766
0	11	34
0	19	34
1	34	28
2	115	28
3	628	24
0	4915	24
0	90	414
1	252	414
2	600	408
3	1793	408
4	3346	408
5	4709	408
6	5022	408
7	5317	408
8	5939	408
9	7805	408
0	8072	384
0	231	1944
1	650	1944
2	1615	1824
3	3652	1824
4	6127	1824
5	7752	1824
0	8108	1702

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 160 to 123 computations (23.1% saved)

preprocess58.0ms (0.7%)

Memory: 18.3MiB live, 139.3MiB allocated
Remove: (negabs x)
Compiler: Compiled 234 to 176 computations (24.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	31	119
0	49	113
1	74	110
2	108	110
3	160	110
4	250	110
5	402	110
6	605	110
7	703	110
8	730	110
9	756	110
10	781	110
11	788	110
12	794	110
13	794	110
0	794	110

Iter	Nodes	Cost
0	31	119
0	49	113
1	74	110
2	108	110
3	160	110
4	250	110
5	402	110
6	605	110
7	703	110
8	730	110
9	756	110
10	781	110
11	788	110
12	794	110
13	794	110
0	794	110

start0.0ms (0%)

analyze333.0ms (4%)

sample1.8s (21.1%)

explain137.0ms (1.6%)

preprocess51.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize44.0ms (0.5%)

series7.0ms (0.1%)

simplify216.0ms (2.6%)

rewrite134.0ms (1.6%)

eval42.0ms (0.5%)

prune37.0ms (0.4%)

simplify186.0ms (2.2%)

localize222.0ms (2.7%)

series28.0ms (0.3%)

simplify173.0ms (2.1%)

rewrite150.0ms (1.8%)

eval380.0ms (4.5%)

prune118.0ms (1.4%)

simplify178.0ms (2.1%)

localize386.0ms (4.6%)

series58.0ms (0.7%)

simplify493.0ms (5.9%)

rewrite202.0ms (2.4%)

eval302.0ms (3.6%)

prune146.0ms (1.7%)

simplify27.0ms (0.3%)

localize551.0ms (6.6%)

series16.0ms (0.2%)

simplify224.0ms (2.7%)

rewrite224.0ms (2.7%)

eval187.0ms (2.2%)

prune68.0ms (0.8%)

regimes56.0ms (0.7%)

regimes9.0ms (0.1%)

regimes12.0ms (0.1%)

regimes4.0ms (0.1%)

simplify30.0ms (0.4%)

soundness1.1s (13.2%)

preprocess58.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	31	119
0	49	113
1	74	110
2	108	110
3	160	110
4	250	110
5	402	110
6	605	110
7	703	110
8	730	110
9	756	110
10	781	110
11	788	110
12	794	110
13	794	110
0	794	110